Total relation: Difference between revisions
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For example, "is less than or equal to" is a total relation over the set of real numbers, while "is less than" is not. |
For example, "is less than or equal to" is a total relation over the set of real numbers, while "is less than" is not. |
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A common total relation is the [[total order]] |
A common total relation is the [[total order]]. |
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[[Category:Set theory]] |
[[Category:Set theory]] |
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Revision as of 20:28, 11 July 2005
In mathematics, a binary relation R over a set X is total if it holds for all a and b in X that a is related to b or b is related to a.
In mathematical notation, this is
For example, "is less than or equal to" is a total relation over the set of real numbers, while "is less than" is not.
A common total relation is the total order.